Math Questions

Becky has quarters, dimes, and nickels in her pocket. The value of her money is $2.25. There are 2 more nickels than dimes and there are a total of 19 coins. How many dimes does Becky have? [?] dimes

In a study on the speed of muscle contraction in a certain species of frogs under various loads, researchers found that the speed of contraction decreases with increasing loads. In particular, they found that the relationship between speed of contraction v (in centimeters per second) and load x (in grams) is given approximately by v(x) = 29+0.05x/x, x≥5 (A) What does v(x) approach as x increases? (B) Sketch a graph of the function v. (A) As x increases, v(x) approaches

Patrick is given the following point and slope: Slope = -3 y-intercept = (0,6) He answers the following questions. Identify if he got each problem correct or Incorrect. If he answers a problem wrong, please do the problem correctly with explanation. 1) Write the equation for the line in Slope-Intercept Form y=-3x+6 2) What is the x-intercept of the line? The x-intercept of the line would be 6, because you are given (0,6) 3) Write the equation for the line in Standard Form -3x+y = 6 4) Using the point (1,3), write the equation for the line in point-slope form y-3 = -3(x-1)

The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.72, the probability that a car brought into the shop requires brake repair is 0.28, and the probability that a car requires both an oil change and brake repair is 0.13. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is (Type an integer or a decimal.)

A die is rolled 100 times and recorded each outcome. If 1 occurred ten times, 2 twenty times, 3 fifteen times, 4 fifteen times and 5 twenty times, then what is the probability of getting a 6? (a) 1/6 (c) 1/4 (b) 1/5 (d) 1/3

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (-12, 5), (12,5) (-12, 5), (-12,-5) (-12, 5).(-5, 12) (-12, 5), (12,-5)

Select all the correct answers. Rachel and Jeffry decided to start saving for college. Rachel has $1,500 to start her savings account, and Jeffery has $1,200. Rachel's bank offered her an interest rate of 7.5% compounded annually. Jeffery decided to keep his money in a safe in his bedroom, and he adds $200 to his safe each year. Suppose that A represents the accumulated money in each one's savings fund and t represents the number of years. Choose the equations that form the system that best models this situation. A = 200t + 1,200 A = 1,200(1.2)t A = 7.5t + 1,500 A = 1,500(1.075) A = 1,200(1.075)t

Find each item listed below for the data provided. Test Scores: 50, 69, 70, 75, 75, 90, 85, 80, 70, 60, 100, 95, 90, 80, 85, 50 (all answers should be rounded to the nearest tenth) Mean: Median: Range: IQR:

Jon starts out on a trip at 45 mph. If 1/1/2 hours later, Joel starts out on the same route at 60 mph, which equation may be used to determine how long it will take Joel to overtake Jon? Enter a, b, c, d, or e.

The hypotenuse of a right triangle is 12 centimeters, and the shorter leg is 6 centimeters. Find the length of the other leg. 6 √3 cm 8 cm 6 √5 cm

A certain phone call costs 75 cents for the first three minutes plus 15 cents for each additional minute. If the call lasted x minutes and x is an integer greater than 3, which of the following expresses the cost of the call in dollars? Enter a, b, c, d, or e. a. 0.75(3) + 0.15x b. 0.75(3) + 0.15 (x+3) c. 0.75 +0.15(3-X) d. 0.75 +0.15(x - 3) e. 0.75 +0.15x

Twenty out of every fifty CDs produced in a factory are scratched. What is the ratio of unscratched to scratched CDs? Enter a, b, c, d, or e. a. 2:5 b. 3:5 c. 2:3 d. 3:2 e. 5:2

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Find the regression equation.

What is the solution set of the following equation? -5x + x + 9 = -4x + 12 (1/7) ∅ (all reals)

You borrow $500 from a friend and offer to pay it back in two months at 6% simple interest. How much interest will you pay?

If y is 2.5 when x is 5 and y varies directly with x, find y when x is 14. 12.5 7 28 7.5

Find the volume of the cone. Diameter: 10 m, Height: 10 m Round to the nearest whole number. Volume = [?] m³

Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does she have? [?] quarters [] dimes Enter the number that belongs in the green box.

A homeowner purchases a riding lawn mower for $3600. Its value is expected to depreciate (decrease) by $400 each year. How many years will it take for the lawn mower to lose all its value (that is, have a value of $0)?

This month a city has 50 street lights installed. Next month it plans to have 54 lights installed, and 58 the following month. If this rate of change continues each month, what is the value of d (the growth factor) in the explicit linear growth equation that models this?

Which of the following is not a prime number? Enter a, b, c, d, or e. a. 49 b. 2 C. 67 d. 17 e. 53

Complete the following statement with the correct number. The sum of the three angles of any triangle is [?]°.

What is the distance between the points (-6, -2) and (2, 4)? 10 2 √10 2 √5 4 √5

Plot the intercepts to graph the equation. x + 2y = 2 Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

Give the following number in Base 10. 62 8 = [?]10 Enter the number that belongs in the green box.

Find the volume of the cone. Diameter: 20 m, Slant Height: 26 m Round to the nearest whole number. Volume = [?] m³

A bottle of soda contains 350 mL. a) How many milliliters are contained in a six-bottle carton? b) How many liters does the amount in part (a) equal? c) At $2.25 for the carton of soda, what is its cost per liter? a) There are .... milliliters of soda in a six-bottle carton.

Certain birth defects and syndromes are polygenetic in nature. Typically, the chance that an offspring will be born with a polygenetic affliction is small. However, once an offspring is born with the affliction, the probability that future offspring of the same parents will be born with the same affliction increases. Let's assume that the probability of a child being born with affliction A is 0.005. If a child is born with this affliction, the probability of a future child being born with the same affliction becomes 0.03. Are the events of the births of two children in the same family with affliction A independent? Yes No A couple plans to have one child. Determine the probability that the child will be born with this affliction. 0.005 (Type an integer or a decimal.) Another couple plans to have two children. Determine the probability that both children will be born with the affliction. 0.00015 (Type an integer or a decimal.) Determine the probability that the first will be born with the affliction and the second will not. 0.00485 (Type an integer or a decimal.) Determine the probabilily that the first will not be born with the affliction and the second will. 0.004975 (Type an integer or a decimal) Determine the probabilily that neither will be born with the affliction. (Type an integer or a decimal.)

Red and blue ceramic tiles are laid according to a pattern such that for every 16 red tiles used, 9 blue tiles are used. If a total of 300 tiles are used, how many of them are blue?

There are 5 different math books, 1 social studies book, and 2 different science books on the shelf. How many different ways can the books be arranged?

Diane has quarters, dimes, and pennies in her pocket. The value of her money is $1.55. There are 4 more dimes than quarters and the number of pennies equals the sum of the number of quarters and dimes. How many pennies does Diane have? [?] pennies

After the govermnent takes a census, it is determined that the population of a country is 52% female. 52% is an example of a(n). parameter statistic population sample

There are 18 different drinks for a graduation. Sandra randomly selects 6. How many different combinations are there?

Two dice are rolled. What is the probability that both die will show even numbers? Give your answer as a decimal.

If the wheel is spun and each section is equally likely to stop under the pointer, determine the probability that the pointer lands on a number greater than 1, given that the color is red or purple. Note that the red sectors are the sectors numbered 5, 6, and 7, and the purple sectors are numbered 2, 4, 9, 11, and 12. What is the probability? (Type an integer or a simplified fraction.)

A house worth $120,000 is in an area where real estate is increasing in value at the rate of 8% per year. How much will the house be worth in 1 year?

Two cylinders are similar. The volume of one is 64 cm³, and the volume of the other is 729 cm³. Find the scale factor between them. Enter the smaller number first. scale factor = [?]:[ ]

A bag has 45 yellow, green, and blue jellybeans. 2/5 of the jellybeans are green and 1/3 are blue. How many yellow jellybeans are there?

Which sampling method is least likely to have bias? Random sampling Convenience sampling Systematic sampling Voluntary response sampling

The point A (-5, -2) is reflected over the line y=-1, and then is reflected over the line x = 3. What are the coordinates of A'? (11,0) (3,8) (3,-2) (-5,4)

Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0. 4/3 -3/4 3/4

Find the surface area of a cylinder whose radius is 1.2 mm and whose height is 2 mm. Round to the nearest tenth. [?] mm²

Given the following inequality: 12x+3y < 24 Explain in a minimum of 3 sentences how you get the following information from the Inequality: x-intercept, y-intercept, slope-intercept form of the Inequality, If It would be a dashed or solid line, and if It would be shaded above or below the line.

The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. Absolute value function g(x) = |x| Describe the transformation verbally. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type whole numbers.) A. The graph is reflected in the x-axis and shifted B. The graph is shifted unit(s) down. C. The graph is reflected in the x-axis and shifted D. The graph is shifted unit(s) to the right and unit(s) up. unit(s) to the left and unit(s) down. unit(s) down.

Jon starts out on a trip at 50 mph. If 20 minutes later, Joel starts out on the same route at 65 mph, how long will it take Joel to overtake Jon? [?] hours. Round to the nearest hour.

Assume the random variable X is normally distributed, with mean μ = 58 and standard deviation o=7. Find the 11th percentile. The 11th percentile is (Round to two decimal places as needed.)

y=2x+1 5y-7x=11 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is B. There are infinitely many solutions. C. There is no solution. (Simplify your answer. Type an ordered pair.)

Josh is able to get to work in 25 minutes if he travels at a rate of 60 mph. How far does Josh travel to work? [?] miles

equation of the line with the given slope, m, and y-intercept (0,b). m=6, b=5 The equation is Write an

The data below shows the number of TV's sold by each sales person. 26 7 12 33 5 8 21 Find the mean.